Home | My Profile | Contact Us
Research Trends Products  |   order gateway  |   author gateway  |   editor gateway  
ID:
Password:
Register | Forgot Password

Author Resources
 Author Gateway
 Article submission guidelines

Editor Resources
 Editor/Referee Gateway

Agents/Distributors
 Regional Subscription Agents/Distributors
 
Trends in Statistical Physics   Volumes    Volume 4 
Abstract
Relation between irreversible sequential adsorption with diffusional relaxation and diffusion-limited reaction
Jae Woo Lee
Pages: 79 - 83
Number of pages: 5
Trends in Statistical Physics
Volume 4 

Copyright © 2004 Research Trends. All rights reserved

ABSTRACT
 
We reviewed relations between a irreversible random sequential adsorption of line segments with diffusional relaxation and the diffusion-limited reaction on a one-dimensional lattice. A line segment of length k adsorbed randomly on the lattice with a adsorption probability p. The adsorbed line segment selected randomly diffuses up to a hopping length l with a probability 1-p. The empty area fraction of the lattice follows a power-law behavior as 1-θ(t)=A(k,1)[(1-p)pt] –α(k,l), where θ(t) is the coverage fraction of the line segment on the lattice and the exponent α (k,l) depends on the length of the line segment k and the hopping distance l. The kinetics of empty area fraction of the dimer is equivalent to the diffusion-limited reaction A + A → 0 at long times where A is a chemical reactant. For k ≥ 3, the kinetics of the empty area fraction is not interpreted by the kinetics of the diffusion-limited reaction kA → 0. For k ≥ 3, the model with 1>1 stepping corresponds to reactions where the particle (gaps of size l) hops in a correlated way.
Buy this Article


 
search


E-Commerce
Buy this article
Buy this volume
Subscribe to this title
Shopping Cart

Quick Links
Login
Search Products
Browse in Alphabetical Order : Journals
Series/Books
Browse by Subject Classification : Journals
Series/Books

Miscellaneous
Ordering Information Ordering Information
Downloadable forms Downloadable Forms